Find two positive real numbers x and y such that their product is 2450 and x + 2y is as small as p (Give your answers as an exact numbers.) X = 0

Q: Find the inverse function (on the given interval, if specified) and graph both f and f graphs.…

A:

Q: Given that the graph of f(x) passes through the point (4, 2) and that the slope of its tangent line…

A: Recall: The slope of the tangent line to the curve f(x) is f'(x).

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. 1 I NOTE: Enter the exact…

A:

Q: 5. [tan³x sec³x dx

A:

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A:

Q: (√x² + y² − ²) dx + ( = √x² + y² − 1) d d; = 0 dy dr 2x = (3y + x).

A:

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

A: We are asked to find the diminishing returns of the point.

Q: 3. Evaluate SIS 3z dV where E is the region inside both x² + y² + z² = 1 and z = E x² + y².

A:

Q: - (D² +8D³² +16) y = _ sinx Ans: Y=as2x+ C₂ Sin2x + C3 Xcos2x + (4x sin2x - 1 9

A: The solution is given below

Q: For a certain automobile, M(x) = - .015x² +1.32x-7.3, 30≤x≤ 60, represents the miles per gallon…

A:

Q: A local club is arranging a charter flight to Hawaii. The cost of the trip is $543 each for 83…

A: We need to find no. of passengers and max. revenue.

Q: 1. Function f is continuous on (-00,00). Find constant k. f(x) [kx² + 2x x-kx if x ≥ 2 if x < 2

A:

Q: Find the derivative of each function. Show all your work and simplify the result completely. a un…

A: We can answer both the question as below.

Q: What is the original price of P1,743,759 discounted price at 22% discount?  (whole number)

A: discounted price = 1,743,759  discount rate = 22%  find original price = ?  this discounted price is…

Q: Complete parts a through f below to find nonnegative numbers x and y that satisfy the given…

A:

Q: 4. S 1 x²√√x²+4 dx

A:

Q: F(x, y, z) = (xy — 2², 2x+cos(yz), 2y² - sinz)

A:

Q: 1 yy" + (y)² = yy' y(0) = 1, y'(0) =

A:

Q: Integrate using the fundamental theorem of calculus

A: Our Aim is to evaluate the integral given below using Fundamental Theoem of Calculus.∫01x4+12 dx…

Q: 4. Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x³ - 9x on the…

A:

Q: Use the maximum magnitude of the remainder term to find the maximum error in the following…

A:

Q: Complete the description of the piecewise function graphed below. 6 5 4 4 if m-fi { f(x) = -2 if 3…

A:

Q: the function, do the following. f(x) = 2x  from  a = 3  to  b = 4   (a) Approximate the area under…

A:

Q: go Find the equations of the tangent lines to the graph of y=x²+6 graph of a to 197 +6 that through…

A: To find out the equation of tangent line and also graph it.

Q: Suppose that the cost function for a product is given by C(x) = 0.003x³ +8x+11,440. Find the…

A:

Q: The integrating factor of the given DE are already given below. What is the value of “n” y2dx…

A:

Q: 5. 6. Je*cos2x dx dx 3 (x+2)4 -(x + 2)2 S-

A: I have stated the used formulas in the solution

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A:

Q: e Determine the equation of the tangent line to y=x2(√x+x la a C C C C C C C

A:

Q: 1) If the sum of the squares of five numbers is 165 and their variance is 8. What is the mean of…

A: Since multiple questions are asked, I am answering first question

Q: Find y = (2x²² -6) ⁹ dy اده

A: We can find the derivative as below.

Q: 4. State the parent functions and the transformation of the functions using proper order -3x-6 and…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A:

Q: If cos(t): sin(t) = cos(-t) = 7 and tan (t) > 0, find sin(t) and cos(-t) 10

A:

Q: Solve the problem. 16) The graph shows the height h (in meters) of a roller coaster t seconds after…

A: In this question, we need to find the time intervals in which the height of roller caster is…

Q: 12 f(x) = x² - 6x² + 2 Determine the intervals on which f(x) is increasing/decreasing and identify…

A: Given,  f(x)=x125-6x25+2

Q: 3 Solve the following ODES by Inverse Operator method 2 • (B³² +1) y = cos x 11

A:

Q: Use the gradient to find the directional derivative of the function at P in the direction of v. h(x,…

A:

Q: Find the distance between the point and the plane. (Round your answer to three decimal places.)…

A:

Q: -5 -4 -3 -2 -1 midline: y = amplitude: 7 period: -1 -4 q Determine the midline, amplitude and period…

A:

Q: 1. Find the area of the region bounded by the curves y=sin X16 , y = 0, and x = 6 obtained by…

A: topic - Area bounded by curves

Q: 2ss" + (s')² = 0

A: we will solve the differential equation.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A:

Q: For So √ 1² dt. use a change of variables to evaluate the definite integral. √5+t²

A:

Q: y= 2x³-27 3x4 - 2x Find dy da

A: Given: y=2x5-x33x4-2xTo Find: To find dydx.

Q: Find and graph the level curve of the function g(x,y)=x^2+y^2-6x+2y corresp

A: the answer is given in step2

Q: Write an expression for the polynomial of least possible degree graphed below. Leave your answ…

A: The solution is given below

Q: By power Series method, Solve the following ODES • (2+x)y=y ans: y = a. (1+1=1/2 X

A: In this question we have to find the solution of the power series.

Q: Find the derivative of the function using Chain Rule. h(x) = (2x-6)-¹ (x²+3)

A:

Q: [² (8cx² = 6cx+6c) de Identify the variable of integration in the given definite integral. Type only…

A: Given problem:- ∫pq8cx2-6cx+6cdc